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Finding the Fourth Proportional to 32,578.14, 48,875.16 and 10,391.52

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Solution

The fourth proportional to 32,578.14, 48,875.16 and 10,391.52 is: 15,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.14 : 48,875.16 = 10,391.52 : x
  2. Step 2: Convert to fraction form
    32,578.14/48,875.16 = 10,391.52/x
  3. Step 3: Cross multiply
    32,578.14x = 48,875.16 × 10,391.52
  4. Step 4: Simplify right side
    32,578.14x = 507,887,202.64
  5. Step 5: Solve for x
    x = 507,887,202.64/32,578.14
  6. Step 6: Final answer
    x = 15,589.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.